%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:30:51 EDT 2023

% Result   : Theorem 0.10s 0.49s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f4,axiom,
    greater(vd508,vd509),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Vd456,Vd457,Vd458] :
      ( greater(Vd457,Vd458)
     => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f31,plain,
    greater(vd508,vd509),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f47,plain,
    ! [Vd456,Vd457,Vd458] :
      ( ~ greater(Vd457,Vd458)
      | greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f48,plain,
    ! [Vd457,Vd458] :
      ( ~ greater(Vd457,Vd458)
      | ! [Vd456] : greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
    inference(miniscoping,[status(esa)],[f47]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X0,X1)
      | greater(vmul(X0,X2),vmul(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f109,plain,
    ~ greater(vd508,vd509),
    inference(resolution,[status(thm)],[f49,f29]) ).

fof(f110,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f109,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n027.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:15:17 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.10/0.27  % Drodi V3.5.1
% 0.10/0.49  % Refutation found
% 0.10/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.49  % Elapsed time: 0.009596 seconds
% 0.10/0.49  % CPU time: 0.021779 seconds
% 0.10/0.49  % Memory used: 14.435 MB
%------------------------------------------------------------------------------